{
  "title": "Introduction to Rational Numbers - Grade 8 CBSE",
  "total_questions": 100,
  "questions": [
    {"id": 1, "difficulty": "easy", "question": "Which of the following is a rational number?", "options": {"A": "√2", "B": "π", "C": "3/4", "D": "√5"}, "correct_answer": "C"},
    {"id": 2, "difficulty": "easy", "question": "What is the numerator in the fraction 5/7?", "options": {"A": "5", "B": "7", "C": "12", "D": "2"}, "correct_answer": "A"},
  {
  "id": 3,
  "difficulty": "easy",
  "question": "Which number can be expressed as p/q where p and q are integers?",
  "options": {
    "A": "√3",
    "B": "0.75",
    "C": "π",
    "D": "e"
  },
  "correct_answer": "B"
}
,  {"id": 4, "difficulty": "easy", "question": "Is -3 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 5, "difficulty": "easy", "question": "What is the denominator in 2/9?", "options": {"A": "2", "B": "9", "C": "11", "D": "7"}, "correct_answer": "B"},
    {"id": 6, "difficulty": "easy", "question": "Which is equivalent to 0.5 as a fraction?", "options": {"A": "1/4", "B": "1/3", "C": "1/2", "D": "2/3"}, "correct_answer": "C"},
    {"id": 7, "difficulty": "easy", "question": "Is 0 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Only positive"}, "correct_answer": "A"},
    {"id": 8, "difficulty": "easy", "question": "Express 0.25 as a fraction in simplest form.", "options": {"A": "1/2", "B": "1/3", "C": "1/4", "D": "2/5"}, "correct_answer": "C"},
    {"id": 9, "difficulty": "easy", "question": "What type of number is 7/1?", "options": {"A": "Irrational", "B": "Rational", "C": "Neither", "D": "Both"}, "correct_answer": "B"},
    {"id": 10, "difficulty": "easy", "question": "Convert 3/5 to decimal form.", "options": {"A": "0.3", "B": "0.5", "C": "0.6", "D": "0.8"}, "correct_answer": "C"},
    {"id": 11, "difficulty": "easy", "question": "Is 4/2 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only if simplified", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 12, "difficulty": "easy", "question": "What is 0.75 as a fraction?", "options": {"A": "1/2", "B": "2/3", "C": "3/4", "D": "4/5"}, "correct_answer": "C"},
    {"id": 13, "difficulty": "easy", "question": "Express 2 as a rational number.", "options": {"A": "2/0", "B": "0/2", "C": "2/1", "D": "1/2"}, "correct_answer": "C"},
    {"id": 14, "difficulty": "easy", "question": "Is -5/3 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only positive", "D": "Only if denominator ≠ 0"}, "correct_answer": "A"},
    {"id": 15, "difficulty": "easy", "question": "Convert 0.2 to a fraction.", "options": {"A": "1/2", "B": "1/3", "C": "1/4", "D": "1/5"}, "correct_answer": "D"},
    {"id": 16, "difficulty": "easy", "question": "What is the rational form of 0.6?", "options": {"A": "2/3", "B": "3/5", "C": "6/10", "D": "4/7"}, "correct_answer": "B"},
    {"id": 17, "difficulty": "easy", "question": "Is 1/0 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Only for certain values"}, "correct_answer": "B"},
   {
  "id": 18,
  "difficulty": "easy",
  "question": "Express 0.8 as a fraction in simplest form.",
  "options": {
    "A": "2/5",
    "B": "3/4",
    "C": "4/5",
    "D": "5/6"
  },
  "correct_answer": "C"
}
,  {"id": 19, "difficulty": "easy", "question": "What is the decimal form of 1/8?", "options": {"A": "0.125", "B": "0.25", "C": "0.375", "D": "0.5"}, "correct_answer": "A"},
    {"id": 20, "difficulty": "easy", "question": "Is 22/7 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only approximately", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 21, "difficulty": "medium", "question": "Which of these is NOT a rational number?", "options": {"A": "-3/4", "B": "0.333...", "C": "√9", "D": "√7"}, "correct_answer": "D"},
    {"id": 22, "difficulty": "medium", "question": "Express 0.125 as a fraction in simplest form.", "options": {"A": "1/6", "B": "1/7", "C": "1/8", "D": "1/9"}, "correct_answer": "C"},
    {"id": 23, "difficulty": "medium", "question": "Which number can be written in the form p/q where q ≠ 0?", "options": {"A": "All real numbers", "B": "Only integers", "C": "Only fractions", "D": "Rational numbers"}, "correct_answer": "D"},
    {"id": 24, "difficulty": "medium", "question": "Convert 5/8 to decimal.", "options": {"A": "0.5", "B": "0.625", "C": "0.75", "D": "0.875"}, "correct_answer": "B"},
    {"id": 25, "difficulty": "medium", "question": "Is 0.272727... a rational number?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only finite decimals"}, "correct_answer": "A"},
    {"id": 26, "difficulty": "medium", "question": "What is the rational number equivalent to 1.5?", "options": {"A": "2/3", "B": "3/2", "C": "5/4", "D": "4/3"}, "correct_answer": "B"},
    {"id": 27, "difficulty": "medium", "question": "Express -2.25 as a fraction.", "options": {"A": "-9/4", "B": "-5/2", "C": "-7/3", "D": "-11/5"}, "correct_answer": "A"},
    {"id": 28, "difficulty": "medium", "question": "Which of these decimals represents a rational number?", "options": {"A": "0.1010010001...", "B": "0.333...", "C": "0.123456789101112...", "D": "π/10"}, "correct_answer": "B"},
    {"id": 29, "difficulty": "medium", "question": "Convert 7/12 to decimal (rounded to 3 decimal places).", "options": {"A": "0.583", "B": "0.584", "C": "0.585", "D": "0.586"}, "correct_answer": "A"},
    {"id": 30, "difficulty": "medium", "question": "Is √16/√25 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only if simplified", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 31, "difficulty": "medium", "question": "Express 0.04 as a fraction in lowest terms.", "options": {"A": "1/20", "B": "1/25", "C": "2/50", "D": "4/100"}, "correct_answer": "B"},
    {"id": 32, "difficulty": "medium", "question": "What is -3 1/2 as an improper fraction?", "options": {"A": "-7/2", "B": "-5/2", "C": "-6/2", "D": "-8/2"}, "correct_answer": "A"},
    {"id": 33, "difficulty": "medium", "question": "Convert 0.875 to a fraction.", "options": {"A": "3/4", "B": "5/6", "C": "7/8", "D": "8/9"}, "correct_answer": "C"},
    {"id": 34, "difficulty": "medium", "question": "Which is a rational number between 1/2 and 3/4?", "options": {"A": "0.6", "B": "0.7", "C": "0.8", "D": "0.9"}, "correct_answer": "A"},
    {"id": 35, "difficulty": "medium", "question": "Express 2.666... as a fraction.", "options": {"A": "2/3", "B": "8/3", "C": "5/2", "D": "7/3"}, "correct_answer": "B"},
    {"id": 36, "difficulty": "medium", "question": "What is 0.09 as a fraction?", "options": {"A": "9/10", "B": "9/100", "C": "9/1000", "D": "9/10000"}, "correct_answer": "B"},
    {"id": 37, "difficulty": "medium", "question": "Convert 3/16 to decimal.", "options": {"A": "0.1875", "B": "0.1876", "C": "0.1877", "D": "0.1878"}, "correct_answer": "A"},
    {"id": 38, "difficulty": "medium", "question": "Is 0 a positive rational number?", "options": {"A": "Yes", "B": "No", "C": "Sometimes", "D": "Cannot say"}, "correct_answer": "B"},
    {"id": 39, "difficulty": "medium", "question": "Express 1.125 as a mixed number.", "options": {"A": "1 1/4", "B": "1 1/8", "C": "1 1/5", "D": "1 1/6"}, "correct_answer": "B"},
    {"id": 40, "difficulty": "medium", "question": "What is the decimal expansion of 4/9?", "options": {"A": "0.4", "B": "0.44", "C": "0.444...", "D": "0.45"}, "correct_answer": "C"},
    {"id": 41, "difficulty": "medium", "question": "Is -√4 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only positive roots", "D": "Cannot determine"}, "correct_answer": "A"},
    {"id": 42, "difficulty": "medium", "question": "Express 0.375 as a fraction in simplest form.", "options": {"A": "2/5", "B": "3/8", "C": "4/9", "D": "5/12"}, "correct_answer": "B"},
    {"id": 43, "difficulty": "medium", "question": "Convert 11/20 to decimal.", "options": {"A": "0.55", "B": "0.56", "C": "0.57", "D": "0.58"}, "correct_answer": "A"},
    {"id": 44, "difficulty": "medium", "question": "What is a rational number between 0.3 and 0.4?", "options": {"A": "0.31", "B": "0.35", "C": "0.39", "D": "All of these"}, "correct_answer": "D"},
    {"id": 45, "difficulty": "medium", "question": "Express 2.5 as a fraction in lowest terms.", "options": {"A": "25/10", "B": "5/2", "C": "10/4", "D": "15/6"}, "correct_answer": "B"},
    {"id": 46, "difficulty": "medium", "question": "Is 0.121212... a rational number?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only terminating decimals"}, "correct_answer": "A"},
    {"id": 47, "difficulty": "medium", "question": "Convert 13/25 to decimal.", "options": {"A": "0.52", "B": "0.53", "C": "0.54", "D": "0.55"}, "correct_answer": "A"},
    {"id": 48, "difficulty": "medium", "question": "What is -0.6 as a fraction?", "options": {"A": "-2/3", "B": "-3/5", "C": "-4/7", "D": "-5/8"}, "correct_answer": "B"},
    {"id": 49, "difficulty": "medium", "question": "Express 0.64 as a fraction in simplest form.", "options": {"A": "16/25", "B": "32/50", "C": "64/100", "D": "8/12"}, "correct_answer": "A"},
    {"id": 50, "difficulty": "medium", "question": "Is √1/√9 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only approximate", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 51, "difficulty": "medium", "question": "Convert 9/40 to decimal.", "options": {"A": "0.225", "B": "0.226", "C": "0.227", "D": "0.228"}, "correct_answer": "A"},
    {"id": 52, "difficulty": "medium", "question": "What is 1.75 as a mixed number?", "options": {"A": "1 1/2", "B": "1 2/3", "C": "1 3/4", "D": "1 4/5"}, "correct_answer": "C"},
    {"id": 53, "difficulty": "medium", "question": "Express 0.05 as a percentage and fraction.", "options": {"A": "5%, 1/20", "B": "5%, 1/25", "C": "0.5%, 1/200", "D": "0.05%, 1/2000"}, "correct_answer": "A"},
    {"id": 54, "difficulty": "medium", "question": "Is 3.1416 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only π is rational", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 55, "difficulty": "medium", "question": "Convert 17/50 to decimal.", "options": {"A": "0.34", "B": "0.35", "C": "0.36", "D": "0.37"}, "correct_answer": "A"},
    {"id": 56, "difficulty": "medium", "question": "What is -2 3/4 as an improper fraction?", "options": {"A": "-11/4", "B": "-10/4", "C": "-9/4", "D": "-12/4"}, "correct_answer": "A"},
    {"id": 57, "difficulty": "medium", "question": "Express 0.84 as a fraction in lowest terms.", "options": {"A": "21/25", "B": "42/50", "C": "84/100", "D": "16/19"}, "correct_answer": "A"},
    {"id": 58, "difficulty": "medium", "question": "Convert 3/7 to decimal (rounded to 3 places).", "options": {"A": "0.428", "B": "0.429", "C": "0.430", "D": "0.431"}, "correct_answer": "B"},
    {"id": 59, "difficulty": "medium", "question": "Is 0.010010001... a rational number?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only if repeating"}, "correct_answer": "B"},
    {"id": 60, "difficulty": "medium", "question": "What is 0.625 as a fraction?", "options": {"A": "5/8", "B": "6/9", "C": "7/11", "D": "8/13"}, "correct_answer": "A"},
    {"id": 61, "difficulty": "medium", "question": "Express 2.2 as a fraction.", "options": {"A": "11/5", "B": "12/5", "C": "13/6", "D": "14/7"}, "correct_answer": "A"},
    {"id": 62, "difficulty": "medium", "question": "Convert 19/80 to decimal.", "options": {"A": "0.2375", "B": "0.2385", "C": "0.2395", "D": "0.2405"}, "correct_answer": "A"},
    {"id": 63, "difficulty": "medium", "question": "Is √0.04 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Only integers", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 64, "difficulty": "medium", "question": "What is 0.45 as a fraction in simplest form?", "options": {"A": "9/20", "B": "45/100", "C": "4.5/10", "D": "22.5/50"}, "correct_answer": "A"},
    {"id": 65, "difficulty": "medium", "question": "Express 1.6 as a mixed number.", "options": {"A": "1 2/3", "B": "1 3/5", "C": "1 4/7", "D": "1 5/8"}, "correct_answer": "B"},
    {"id": 66, "difficulty": "medium", "question": "Convert 23/100 to decimal.", "options": {"A": "0.23", "B": "0.24", "C": "0.25", "D": "0.26"}, "correct_answer": "A"},
    {"id": 67, "difficulty": "medium", "question": "Is -0 a rational number?", "options": {"A": "Yes", "B": "No", "C": "Zero is neutral", "D": "Cannot say"}, "correct_answer": "A"},
    {"id": 68, "difficulty": "medium", "question": "Express 0.96 as a fraction.", "options": {"A": "24/25", "B": "48/50", "C": "96/100", "D": "12/13"}, "correct_answer": "A"},
    {"id": 69, "difficulty": "medium", "question": "Convert 7/25 to decimal.", "options": {"A": "0.28", "B": "0.29", "C": "0.30", "D": "0.31"}, "correct_answer": "A"},
    {"id": 70, "difficulty": "medium", "question": "What is a rational number between 2/7 and 3/7?", "options": {"A": "0.35", "B": "0.4", "C": "0.45", "D": "0.5"}, "correct_answer": "A"},
    {"id": 71, "difficulty": "hard", "question": "Which of these is always a rational number?", "options": {"A": "Sum of two irrationals", "B": "Product of rational and irrational", "C": "Quotient of two integers", "D": "Square root of prime"}, "correct_answer": "C"},
    {"id": 72, "difficulty": "hard", "question": "Express 0.123123123... as a fraction.", "options": {"A": "123/999", "B": "123/1000", "C": "41/333", "D": "123/900"}, "correct_answer": "C"},
    {"id": 73, "difficulty": "hard", "question": "Is (√2 + √2) a rational number?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only if simplified"}, "correct_answer": "B"},
    {"id": 74, "difficulty": "hard", "question": "Convert 0.142857142857... to fraction form.", "options": {"A": "1/6", "B": "1/7", "C": "1/8", "D": "1/9"}, "correct_answer": "B"},
    {"id": 75, "difficulty": "hard", "question": "Which statement about rational numbers is FALSE?", "options": {"A": "They can be negative", "B": "They include integers", "C": "They have terminating or repeating decimals", "D": "They include all square roots"}, "correct_answer": "D"},
    {"id": 76, "difficulty": "hard", "question": "Express 2.135135135... as a mixed number.", "options": {"A": "2 5/37", "B": "2 15/111", "C": "2 135/999", "D": "2 27/200"}, "correct_answer": "A"},
    {"id": 77, "difficulty": "hard", "question": "Is (√9 + √16)/√25 rational?", "options": {"A": "Yes", "B": "No", "C": "Cannot determine", "D": "Only approximate"}, "correct_answer": "A"},
    {"id": 78, "difficulty": "hard", "question": "Convert 0.08333... to fraction.", "options": {"A": "1/10", "B": "1/11", "C": "1/12", "D": "1/13"}, "correct_answer": "C"},
    {"id": 79, "difficulty": "hard", "question": "Find a rational number between √4 and √9.", "options": {"A": "2.1", "B": "2.5", "C": "2.8", "D": "All of these"}, "correct_answer": "D"},
    {"id": 80, "difficulty": "hard", "question": "Express 1.234234234... as a fraction.", "options": {"A": "1234/9999", "B": "411/333", "C": "1234/999", "D": "411/330"}, "correct_answer": "B"},
    {"id": 81, "difficulty": "hard", "question": "Is (π × 0) rational?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only approximate"}, "correct_answer": "A"},
    {"id": 82, "difficulty": "hard", "question": "Convert 0.009009009... to fraction.", "options": {"A": "9/999", "B": "1/111", "C": "9/1000", "D": "1/110"}, "correct_answer": "B"},
{"id":83,"difficulty":"hard","question":"Which set contains only rational numbers?","options":{"A":"0.5, √4, 22/7, 0.333...","B":"π, √2, e, √3","C":"0.101001000..., √5, 3.14, 1/3","D":"√9, 0.25, 1.414..., 2/3"},"correct_answer":"A"},

    {"id": 84, "difficulty": "hard", "question": "Express 3.027027027... as a mixed number.", "options": {"A": "3 1/37", "B": "3 27/999", "C": "3 3/111", "D": "3 9/333"}, "correct_answer": "A"},
    {"id": 85, "difficulty": "hard", "question": "Is (√25 - √16)/(√36 - √9) rational?", "options": {"A": "Yes", "B": "No", "C": "Cannot determine", "D": "Only if simplified"}, "correct_answer": "A"},
    {"id": 86, "difficulty": "hard", "question": "Convert 0.054054054... to fraction.", "options": {"A": "2/37", "B": "54/999", "C": "6/111", "D": "54/1000"}, "correct_answer": "A"},
    {"id": 87, "difficulty": "hard", "question": "Find 3 rational numbers between 0.12 and 0.13.", "options": {"A": "0.121, 0.125, 0.129", "B": "0.121, 0.122, 0.123", "C": "0.124, 0.126, 0.128", "D": "All of these"}, "correct_answer": "D"},
    {"id": 88, "difficulty": "hard", "question": "Express 0.456456456... as a fraction.", "options": {"A": "456/999", "B": "152/333", "C": "456/1000", "D": "228/500"}, "correct_answer": "B"},
    {"id": 89, "difficulty": "hard", "question": "Is (1/3 + 2/3) × (4/5 - 2/5) rational?", "options": {"A": "Yes", "B": "No", "C": "Cannot say", "D": "Only approximate"}, "correct_answer": "A"},
    {"id": 90, "difficulty": "hard", "question": "Convert 0.001001001... to fraction.", "options": {"A": "1/999", "B": "1/1000", "C": "1/9999", "D": "1/900"}, "correct_answer": "A"},
    {"id": 91, "difficulty": "hard", "question": "Which expression always gives a rational number?", "options": {"A": "a + b where a and b are irrational", "B": "a × b where a is rational, b is irrational", "C": "a ÷ b where a and b are integers, b ≠ 0", "D": "√a where a is natural number"}, "correct_answer": "C"},
    {"id": 92, "difficulty": "hard", "question": "Express 1.0714285714285... (repeating 714285) as fraction.", "options": {"A": "15/14", "B": "30/28", "C": "1 1/14", "D": "All of these"}, "correct_answer": "A"},
   {"id":93,"difficulty":"hard","question":"Is (√64 ÷ √4) rational?","options":{"A":"Yes","B":"No","C":"Cannot say","D":"Only if positive"},"correct_answer":"A"},
{"id":94,"difficulty":"hard","question":"Convert 0.076923076923... to fraction.","options":{"A":"1/13","B":"1/12","C":"1/14","D":"1/15"},"correct_answer":"A"},
{"id":95,"difficulty":"hard","question":"Find two rational numbers between 1/√2 and √2.","options":{"A":"0.8, 1.2","B":"0.9, 1.1","C":"1.0, 1.1","D":"0.7, 1.3"},"correct_answer":"B"},
{"id":96,"difficulty":"hard","question":"Express 0.818181... as a fraction.","options":{"A":"9/11","B":"8/9","C":"81/99","D":"41/50"},"correct_answer":"A"},
{"id":97,"difficulty":"hard","question":"Is (0.999...) equal to 1?","options":{"A":"Yes","B":"No","C":"Approximately","D":"Cannot say"},"correct_answer":"A"},
{"id":98,"difficulty":"hard","question":"Convert 0.00137174211248... (1/729) to fraction.","options":{"A":"1/729","B":"1/730","C":"1/728","D":"1/727"},"correct_answer":"A"},
{"id":99,"difficulty":"hard","question":"Which is a rational number: √(16/25) or √(25/16)?","options":{"A":"Both","B":"Only √(16/25)","C":"Only √(25/16)","D":"Neither"},"correct_answer":"A"},
{"id":100,"difficulty":"hard","question":"Express 0.142857142857... × 7 as a whole number.","options":{"A":"0.999999","B":"1","C":"7","D":"0.142857"},"correct_answer":"B"}
  ]}